Finite Group DatabasebetaFinite Group Databasebeta| order | 7232 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#16813539 |
| Sylow | C113 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
1142 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28388691, #28388692, C4×#16813539, … |
| maximal normal subgroup of | #28388691, #28388692, C4×#16813539, … |
| maximal quotient of | C2×#20298322, #28388895, #28388901, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7232, 526);